抽象聚合物系统一致有界的充分条件及探索性划分方案
Sufficient conditions for uniform bounds in abstract polymer systems and explorative partition schemes
摘要：
我们提出了几个新的充分条件的一致有界性的约化相关和自由能的抽象聚合物系统在一个复杂的多圆盘周围的零逸度。他们解决了Dobrushin的经典条件的两个无与伦比的和以前已知的扩展之间的差异。所有的条件产生的树运营商的方法介绍了费尔南德斯和Procacci的扩展与一个新的家庭的划分计划的集群的生成子图复杂。其关键技术是增加的结构信息从分区计划转移到一个树运算符上的增强空间。
英文摘要：
We present several new sufficient conditions for uniform boundedness of the reduced correlations and free energy of an abstract polymer system in a complex multidisc around zero fugacity. They resolve a discrepancy between two incomparable and previously known extensions of Dobrushin's classic condition. All conditions arise from an extension of the tree-operator approach introduced by Fernàndez & Procacci combined with a novel family of partition schemes of the spanning subgraph complex of a cluster. The key technique is the increased transfer of structural information from the partition scheme to a tree-operator on an enhanced space.
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